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Finding the Fourth Proportional to 305,486.76, 458,235.34 and 105,813.06

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Solution

The fourth proportional to 305,486.76, 458,235.34 and 105,813.06 is: 158,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,486.76 : 458,235.34 = 105,813.06 : x
  2. Step 2: Convert to fraction form
    305,486.76/458,235.34 = 105,813.06/x
  3. Step 3: Cross multiply
    305,486.76x = 458,235.34 × 105,813.06
  4. Step 4: Simplify right side
    305,486.76x = 48,487,283,525.54
  5. Step 5: Solve for x
    x = 48,487,283,525.54/305,486.76
  6. Step 6: Final answer
    x = 158,721.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.